Question

According to the triangle inequity if 20 and 25 are the lengths of two sides of a triangle then an inequality that represents all possible lengths for the third side is_____

A. 0


B. 0


C. 5_

D. 5

Answer 1

Answer and explanation:

The inequality theorem states that the sum of the length of two sides of a triangle is greater than the third side of a triangle.

Also the difference of two sides of a triangle is less than the third side

If we apply this theorem here,

Then we say the third side x<20+25 and x>25-20

Therefore x<45 but >5

5<x<45

Possible sides of x include: 6,7,8,9,10,11,12,13,14,15,16,17,18...not equal to 45 or more than